Model 8 population based Practice Questions Answers Test with Solutions & More Shortcuts

Question : 21

Of the 1000 inhabitants in a town 60% are males of whom 20% are literate. If of all the inhabitants, 25% are literate, then what percentage of the females of the town are ilterate ?

a) 32.5

b) 27.5

c) 37.5

d) 22.5

Answer: (a)

Population of town = 1000

Males ⇒ 600; Females ⇒ 400

Literate males = ${600 × 20}/100$ = 120

Total literate inhabitants

= ${1000 × 25}/100$ = 250

Literate females = 250 – 120 = 130

Required percent = $130/400$ × 100 = 32.5%

Question : 22 [SSC CPO S.I.2003]

The value of a property depreciates every year by 10% of its value at the beginning of the year. The present value of the property is Rs.8100. What was its value 2 years ago ?

a) Rs.$(90/100)^2 × 8100$

b) Rs.10,000

c) Rs. $(100/110)^2 × 8100$

d) Rs.9801

Answer: (b)

Using Rule 18,

Suppose the value of property two years ago was Rs.x

According to question $x(1 - 10/100)^2 = 8100$

$x(90/100)^2 = 8100$

$x ={8100 × 10 × 10}/{9 × 9}$ = Rs.10000

Question : 23 [SSC CPO S.I.2003]

The population of a village has increased annually at the rate of 25%. If at the end of 3 years it is 10,000, the population in the beginning of the first year was

a) 5000

b) 5120

c) 4900

d) 4500

Answer: (b)

Using Rule 17,

Population in the beginning of the year

=$\text"Population after 3 years"/(1 + \text"Rate"/100)^{ \text"Time"}$

= $10000/(1 + 25/100)^3= 10000/(5/4)^3$

= ${10000 × 64}/125 = 5120$

Question : 24 [SSC CAPFs 2016]

The population of a town is 9000. It the number of females increases by 5% and the males by 7.5%, what will be the total population after increase. The number of females currently is 3000.

a) 9200

b) 9600

c) 10500

d) 9540

Answer: (b)

In the village,

Females = 3000; Males = 9000 – 3000 = 6000

After respective increases,

Population of village

= $3000 × 105/100 + {6000 × 107.5}/100$

= 3150 + 6450 = 9600

Question : 25

A TV was bought at a price of Rs.21,000. After one year the value of TV was depreciated by 5%. Find the value of the TV after one year.

a) Rs.20,950

b) Rs.19,950

c) Rs.18,950

d) Rs.17,950

Answer: (b)

Value of TV after one year = 21000 × (100 – 5)%

= ${21000 × 95}/100$ = Rs. 19950

IMPORTANT quantitative aptitude EXERCISES

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